Exact boundary observability for quasilinear hyperbolic systems

被引：22

作者：

Li, Tatsien ^{[1
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2008年 / 14卷 / 04期

关键词：

exact boundary observability; exact boundary controllability; semi-global C-1 solution; mixed initial-boundary value problem; quasilinear hyperbolic system;

D O I：

10.1051/cocv:2008007

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

By means of a direct and constructive method based on the theory of semi-global C-1 solution, the local exact boundary observability is established for one-dimensional first order quasilinear hyperbolic systems with general nonlinear boundary conditions. An implicit duality between the exact boundary controllability and the exact boundary observability is then shown in the quasilinear case.

引用

页码：759 / 766

页数：8

共 50 条

[1] Exact boundary observability for quasilinear hyperbolic systems.
Li, Tatsien
COMPTES RENDUS MATHEMATIQUE, 2006, 342 (12) : 937 - 942
[2] Exact Boundary Observability for a Kind of Second-Order Quasilinear Hyperbolic Systems
Wang, Ke
CHINESE ANNALS OF MATHEMATICS SERIES B, 2016, 37 (06) : 803 - 820
[3] Exact boundary observability for a kind of second-order quasilinear hyperbolic systems
Ke Wang
Chinese Annals of Mathematics, Series B, 2016, 37 : 803 - 820
[4] A NOTE ON THE ONE-SIDE EXACT BOUNDARY OBSERVABILITY FOR QUASILINEAR HYPERBOLIC SYSTEMS
Li, Tatsien
Rao, Bopeng
Wang, Zhiqiang
GEORGIAN MATHEMATICAL JOURNAL, 2008, 15 (03) : 571 - 580
[5] Exact Boundary Observability for a Kind of Second-Order Quasilinear Hyperbolic Systems
Ke WANG
ChineseAnnalsofMathematics,SeriesB, 2016, (06) : 803 - 820
[6] Exact boundary observability for nonautonomous first-order quasilinear hyperbolic systems
Guo, Lina
Wang, Zhiqiang
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2008, 31 (16) : 1956 - 1971
[7] Exact boundary observability for a kind of second order quasilinear hyperbolic systems and its applications
Yu, Lixin
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (12) : 4452 - 4465
[8] EXACT BOUNDARY CONTROLLABILITY AND OBSERVABILITY FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS WITH A KIND OF NONLOCAL BOUNDARY CONDITIONS
Li, Tatsien
Rao, Bopeng
Wang, Zhiqiang
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2010, 28 (01) : 243 - 257
[9] Global exact boundary observability for first-order quasilinear hyperbolic systems of diagonal form
Yu, Lixin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (13) : 1505 - 1517
[10] One-side exact controllability and observability for quasilinear hyperbolic systems
Li, Tatsien
Rao, Bopeng
Wang, Zhiqiang
COMPTES RENDUS MATHEMATIQUE, 2008, 346 (19-20) : 1067 - 1072

← 1 2 3 4 5 →